Atkin-Lehner |
2+ 3- 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154bk |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4300800 |
Modular degree for the optimal curve |
Δ |
1.6112894440255E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6926787,-6988549883] |
[a1,a2,a3,a4,a6] |
Generators |
[-1554:5369:1] |
Generators of the group modulo torsion |
j |
50418708717801011064625/221027358576889872 |
j-invariant |
L |
3.6436061292012 |
L(r)(E,1)/r! |
Ω |
0.093085308906894 |
Real period |
R |
1.6309439436067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32718h1 |
Quadratic twists by: -3 |